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Simplifying -5 + -1(9x + 4) = 8(-7x + -7) Reorder the terms: -5 + -1(4 + 9x) = 8(-7x + -7) -5 + (4 * -1 + 9x * -1) = 8(-7x + -7) -5 + (-4 + -9x) = 8(-7x + -7) Combine like terms: -5 + -4 = -9 -9 + -9x = 8(-7x + -7) Reorder the terms: -9 + -9x = 8(-7 + -7x) -9 + -9x = (-7 * 8 + -7x * 8) -9 + -9x = (-56 + -56x) Solving -9 + -9x = -56 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -9 + -9x + 56x = -56 + -56x + 56x Combine like terms: -9x + 56x = 47x -9 + 47x = -56 + -56x + 56x Combine like terms: -56x + 56x = 0 -9 + 47x = -56 + 0 -9 + 47x = -56 Add '9' to each side of the equation. -9 + 9 + 47x = -56 + 9 Combine like terms: -9 + 9 = 0 0 + 47x = -56 + 9 47x = -56 + 9 Combine like terms: -56 + 9 = -47 47x = -47 Divide each side by '47'. x = -1 Simplifying x = -1
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